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arXiv · 2104.05716

Superconformal algebras for generalized Spin(7) and G$_2$ connected sums

Marc-Antoine Fiset·Mateo Galdeano
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Abstract

Worldsheet string theory compactified on exceptional holomony manifolds is revisited following arXiv:1809.06376, where aspects of the chiral symmetry were described for the case where the compact space is a 7-dimensional G$_2$-holonomy manifold constructed as a Twisted Connected Sum. We reinterpret this result and extend it to Extra Twisted Connected Sum G$_2$-manifolds, and to 8-dimensional Generalized Connected Sum Spin(7)-manifolds. Automorphisms of the latter construction lead us to conjecture new mirror maps.

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Marc-Antoine Fiset, Mateo Galdeano. 2021-04-12. Superconformal algebras for generalized Spin(7) and G$_2$ connected sums. https://doi.org/10.1007/jhep10(2021)137

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